Abstract
The present paper numerically and experimentally demonstrates that an extremely weak diffusive connection can induce a stable periodic orbit in coupled chaotic oscillators, where each individual oscillator has an unstable periodic orbit which dominates its chaotic attractor. The connection-induced stable periodic orbit is quite close to the unstable periodic orbit. The mechanism of this phenomenon is clarified on the basis of bifurcation analysis: When the coupling strength is varied from zero to an extremely small positive value, the unstable periodic orbit embedded within each individual chaotic attractor becomes stable via a period-doubling bifurcation and then disappears via a saddle-node bifurcation. These results are numerically observed in well-known chaotic oscillators, such as Rossler oscillators and logistic maps. Furthermore, an experimental verification of this phenomenon in coupled chaotic electronic circuits is presented.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call